Math: Algebra
posted by Matt .
Landon can climb a certain hill at a rate that is 2.5 mph slower than his rate coming down the hill. If it takes him 6 hours to climb the hill and 45 minutes to come down the hill, what is his rate coming down?

Math: Algebra 
Steve
the distance is the same
Let s be his uphill speed
d/s = 6
d/(s+2.5) = .75
6s = .75(s+2.5)
6s = 3s/4 + 15/8
48s = 6s + 15
42s = 15
s = 15/42 = 5/14
So, he can go up at 5/14 mph and come down at 20/7 mph
6*5/14 = 30/14
3/4 * 20/7 = 60/28 = 30/14
Looks like the hill is 15/7 miles long.
Respond to this Question
Similar Questions

phys. help
A 30kg child coast down a hill on a 20kg sled. She pushes off from the top of the hill with a velocity of 1 m/s. At the bottom of the hill, she is moving 4 m/s. If there is no heat generated when she slides down, how high is this … 
algebra
a man rides up a ski lift at the rate of 5 miles per hour and skis back down the hill at the rate of 50miles an hour. if the complete trip requires 22 minutes, how far is it from the bottom to top of the hill? 
Math
3/8 of the 40 little engines could climb the hill. How many engines were in each part? 
math
Coming down the long hill,Nelson averaged 24 miles per hour. If it took him 5 minutes to come down the hill, how long was the hill? 
Physics
A bicyclist is coasting straight down a hill at a constant speed. The mass of the rider and bicycle is 85.0 kg, and the hill is inclined at 19.0° with respect to the horizontal. Air resistance opposes the motion of the cyclist. Later, … 
Physics
A bicyclist is coasting straight down a hill at a constant speed. The mass of the rider and bicycle is 55.0 kg, and the hill is inclined at 16.0° with respect to the horizontal. Air resistance opposes the motion of the cyclist. Later, … 
physcis
biker passes a lamppost at the crest of a hill at + 4.5 m/s. she acceleratets down the hill at a constant rate of +0.40 ,/s2 for 12 seconds.\ how far does she move down the hill during this time? 
Physics
a bike passes a lamp post at the crest of hill at 4.5 m/s. she accelerates down the hill at the rate of 0.04 m/s squared for 12 seconds. how far does she move down the hill during this time ? 
algebra
Landon can climb a certain hill at a rate that is 3.5 mph slower than his rate coming down the hill. If it take him 4 hours to climb the hill and 135 minutes to come down the hill. what is his rate coming down. 
physics
After coming down a steep hill at a constant speed of 49 m/s, a car travels along the circumference of a vertical circle of radius 329 m until it begins to climb another hill. What is the magnitude of the resultant force on the 170 …